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Review game (Factoring Polynomials)

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the factor of  x2 16x^{2\ }-16  ?

a)

 (x+2)(x2)\left(x+2\right)\left(x-2\right)  

b)

 (x+4)(x4)\left(x+4\right)\left(x-4\right)  

c)

 (x+2)(x+2)\left(x+2\right)\left(x+2\right)  

d)

(x-4)(x-4)

2.

What is the factor of x2 +7x+10x^{2\ }+7x+10 ?

a)

 (x+10)(x+1)\left(x+10\right)\left(x+1\right)  

b)

 (x2)(x5)\left(x-2\right)\left(x-5\right)  

c)

 (x10)(x1)\left(x-10\right)\left(x-1\right)  

d)

 (x+2)(x+5)\left(x+2\right)\left(x+5\right)  

3.

What is the factor of x3 1x^{3\ }-1 ?

a)

 (x+1)(x2x+1)\left(x+1\right)\left(x^2-x+1\right)  

b)

 (x1)(x2 x+1)\left(x-1\right)\left(x^{2\ }-x+1\right)  

c)

 (x1)(x2 +x+1)\left(x-1\right)\left(x^{2\ }+x+1\right)  

d)

 (x+1)(x2 +x+1)\left(x+1\right)\left(x^{2\ }+x+1\right)  

4.

Factor: 24mn2 6m2n+4mn24mn^{2\ }-6m^2n+4mn 

a)

 2mn(12n3m+2)2mn\left(12n-3m+2\right)  

b)

 4mn(6n4m+1)4mn\left(6n-4m+1\right)  

c)

 2mn(6nm+1)2mn\left(6n-m+1\right)  

d)

 4mn(12n3m+2)4mn\left(12n-3m+2\right)  

5.

Factor: 3x25x+23x^2-5x+2  

a)

 (3x1)(x2)\left(3x-1\right)\left(x-2\right)  

b)

 (3x2)(x1)\left(3x-2\right)\left(x-1\right)  

c)

 (3x2)(x+1)\left(3x-2\right)\left(x+1\right)  

d)

 (3x+1)(x2)\left(3x+1\right)\left(x-2\right)  

6.

Factor: x2 +x12x^{2\ }+x-12  

a)

 (x+3)(x4)\left(x+3\right)\left(x-4\right)  

b)

 (x+4)(x3)\left(x+4\right)\left(x-3\right)  

c)

 (x+6)(x2)\left(x+6\right)\left(x-2\right)  

d)

 (x6)(x+2)\left(x-6\right)\left(x+2\right)  

7.

Factor completely: 2x3 162x^{3\ }-16  

a)

 2(x+4)(x4)2\left(x+4\right)\left(x-4\right)  

b)

 2(x38)2\left(x^3-8\right)  

c)

 2(x2)(x2 +2x+4)2\left(x-2\right)\left(x^{2\ }+2x+4\right)  

d)

 Not factorableNot\ factorable  

8.

Factor: b2 +49b^{2\ }+49  

a)

 (b+7)(b7)\left(b+7\right)\left(b-7\right)  

b)

 (b+7)(b27b+49)\left(b+7\right)\left(b^2-7b+49\right)  

c)

 (b+7)(b+7)\left(b+7\right)\left(b+7\right)  

d)

 Not factorableNot\ factorable  

9.

Factor: x2yz2xy2z+xyzx^2yz^2-xy^2z+xyz  

a)

 xyz (xzy+1)xyz\ \left(xz-y+1\right)  

b)

 xyz(xzy)xyz\left(xz-y\right)  

c)

 xyz(xz+y1)xyz\left(xz+y-1\right)  

d)

 x2y2z(y1)x^2y^2z\left(y-1\right)  

10.

Factor x8y6x^8-y^6  

a)

 (x4+y3)(x4y3)\left(x^4+y^3\right)\left(x^{\text{4}}-y^3\right)  

b)

 (x4+y3)(x4+y3)\left(x^4+y^3\right)\left(x^{\text{4}}+y^3\right)  

c)

 (x4y3)(x4y3)\left(x^4-y^3\right)\left(x^{\text{4}}-y^3\right)  

d)

 xy(x4y3)xy\left(x^4-y^3\right)